Journal of Siberian Federal University. Mathematics & Physics / Optimal Control for an Elastic Frictional Contact Problem

Full text (.pdf)
Issue
Journal of Siberian Federal University. Mathematics & Physics. 2024 17 (2)
Authors
Ahlem Benraouda
Contact information
Ahlem Benraouda: Department of mathematics University of Science and Technology Houari Boumediene Bab-Ezzouar, Algeria;
Keywords
weak solution; Coulomb’s friction; continuous dependence; lower semicontinuity; optimal control
Abstract

We consider a mathematical model which describes a frictional contact between an elastic body and a foundation. We prove the existence of a unique weak solution to the problem. Then, we study the continuous dependence of the solution with respect to the data. Finally, we address an optimal control problem for which we prove the existence of at least one solution

Pages
151–161
EDN
AAVCFR
Paper at repository of SibFU
https://elib.sfu-kras.ru/handle/2311/152675